Relativistic wave equations for interacting massive particles with arbitrary half-intreger spins

TL;DR

This paper introduces a new formulation of relativistic wave equations for massive particles with arbitrary half-integer spins interacting with electromagnetic fields, aiming to resolve inconsistencies in previous models.

Contribution

It proposes a novel, consistent approach to describe interacting higher spin particles using irreducible tensor wave functions with bispinor components.

Findings

Formulation is straightforward and free of known inconsistencies.

Applicable to particles with arbitrary half-integer spins.

Provides a new framework for higher spin particle interactions.

Abstract

New formulation of relativistic wave equations (RWE) for massive particles with arbitrary half-integer spins s interacting with external electromagnetic fields are proposed. They are based on wave functions which are irreducible tensors of rank $n ($n=s-\frac12$) antisymmetric w.r.t. n pairs of indices, whose components are bispinors. The form of RWE is straightforward and free of inconsistencies associated with the other approaches to equations describing interacting higher spin particles.